Evaluate the trig function and inverse function

The video tutorial explains the concept of inverse sine and its application in trigonometry, particularly when dealing with non-unit circles. It discusses constructing triangles with given hypotenuse and Y values, and the importance of sine restrictions. The tutorial demonstrates using the inverse sine function to determine valid triangles and applies the Pythagorean theorem to solve for missing sides. Finally, it calculates the cosine of an angle and reviews the relationships between sine, cosine, and their respective triangle sides.

What is the relationship between sine and the unit circle?

• Sine is the angle of the unit circle.

• Sine is the radius of the unit circle.

• Sine is the Y coordinate on the unit circle.

• Sine is the X coordinate on the unit circle.

Why is it necessary to consider restrictions when using inverse sine?

• To ensure the angle is within the range of 0 to 180 degrees.

• To avoid using the wrong triangle and getting multiple answers.

• To ensure the sine value is always positive.

• To make sure the hypotenuse is always 1.

How does the Pythagorean theorem help in solving the triangle?

• It helps calculate the missing side of the triangle.

• It helps find the sine of the angle.

• It helps determine the hypotenuse of the triangle.

• It helps find the angle of the triangle.

What is the formula for cosine in terms of triangle sides?

• Opposite over hypotenuse

• Adjacent over hypotenuse

• Hypotenuse over opposite

• Hypotenuse over adjacent

What is the final value of cosine for the given triangle?

• 5/13

• 12/13

• 13/5

• 13/12